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Finding the Fourth Proportional to 965.72, 1,446.49 and 636.29

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Solution

The fourth proportional to 965.72, 1,446.49 and 636.29 is: 953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.72 : 1,446.49 = 636.29 : x
  2. Step 2: Convert to fraction form
    965.72/1,446.49 = 636.29/x
  3. Step 3: Cross multiply
    965.72x = 1,446.49 × 636.29
  4. Step 4: Simplify right side
    965.72x = 920,386.11
  5. Step 5: Solve for x
    x = 920,386.11/965.72
  6. Step 6: Final answer
    x = 953.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.